The present invention relates to combinations of anti-C5 antibodies and antigen-binding fragments which have been determined to exhibit superior activity relative to that of a single anti-C5 antibody or fragment. The combinations include anti-C5 antibodies and antigen-binding fragments which do not compete with one another from C5 binding. Bispecific antibodies comprising antigen-binding domains which do not compete and/or bind the same epitope on C5 are also provided. Compositions and therapeutic methods relating to such anti-C5 combinations and bispecific antibodies are provided herein.